The Brauer trees of the exceptional Chevalley groups of type \(E_ 6\)

DOI10.1007/BF02570465zbMath0846.20017OpenAlexW1965006295MaRDI QIDQ1895733

Gunter Malle, Gerhard Hiss, Frank Lübeck

Publication date: 29 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156078

zbMATH Keywords

Brauer treesexceptional Chevalley groupstensor products of uniform functions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (8)

Coxeter orbits and Brauer trees III ⋮ The Brauer trees of non-crystallographic groups of Lie type. ⋮ Coxeter orbits and Brauer trees. ⋮ Cohomology of Deligne-Lusztig varieties for short-length regular elements in exceptional groups. ⋮ Brauer trees of unipotent blocks ⋮ A construction of almost all Brauer trees ⋮ Serial group rings of finite simple groups of Lie type ⋮ Lectures on modular Deligne-Lusztig theory

Uses Software

• GAP
• Maple
• CHEVIE
• CAS

Cites Work

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• Coxeter orbits and eigenspaces of Frobenius
• The representation theory of the symmetric groups
• Regular and Semisimple Blocks of Finite Reductive Groups
• The brauer trees of the ree groups
• Generalized gelfand-graev characters for steinberg's triality groups and their applications
• Blocks and brauer trees for the groupsG₂(2^k), G₂(3^k)
• Brauer trees of 2.F₄(2)
• Brauer trees of hecke algebras
• Blocks and brauer trees in the groupsG₂(q) for primes dividingq±1

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